Details

sample1.1s

Algorithm

intervals

Results

81.0ms	22×	body	2560	valid
48.0ms	58×	body	1280	valid
17.0ms	150×	body	80	valid
12.0ms	25×	body	640	valid
8.0ms	19×	body	320	valid
2.0ms	8×	body	160	valid

simplify292.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	136
7	136
6	133
5	119
4	103
3	64
2	39
1	18
0	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.2b	(tan (* PI l))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`tan-quot` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* PI l)
7.0ms	(/ 1.0 (* F F))
40.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
7.0ms	(tan (* PI l))

series326.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
30.0ms	(/ 1.0 (* F F))
183.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
90.0ms	(tan (* PI l))

simplify1.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1162
1	328
0	135

prune535.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
0.3b	(* PI l)
0.3b	(* PI l)
30.2b	(tan (* PI l))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
10×	`pow1` `sqrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-prod-down` `tan-quot` `*-commutative`
1×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `div-inv`

Counts

4 → 88

Calls

4 calls:

46.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
5.0ms	(* PI l)
9.0ms	(* PI l)
11.0ms	(tan (* PI l))

series459.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
34.0ms	(* PI l)
26.0ms	(* PI l)
124.0ms	(tan (* PI l))

simplify2.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
3	3160
2	904
1	309
0	132

prune829.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (sqrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
30.2b	(tan (* PI l))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
3×	`associate-/r*` `times-frac` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `tan-quot` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-r/` `div-inv` `associate-/l` `associate-/l/`

Counts

4 → 66

Calls

4 calls:

33.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
7.0ms	(* PI l)
6.0ms	(* PI l)
6.0ms	(tan (* PI l))

series447.0ms

Counts

4 → 12

Calls

4 calls:

311.0ms	(/ (* (sqrt 1.0) (tan (* PI l))) F)
22.0ms	(* PI l)
32.0ms	(* PI l)
81.0ms	(tan (* PI l))

simplify2.5s

Counts

78 → 78

Iterations

Iter	Nodes
done	5149
3	3579
2	896
1	274
0	112

prune637.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.4b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.8b	(/ (sqrt 1.0) (/ F (tan (* PI l))))
30.2b	(tan (* PI l))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
91×	`add-sqr-sqrt`
87×	`*-un-lft-identity` `add-cube-cbrt`
45×	`sqrt-prod`
14×	`associate-/r*`
13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `tan-quot` `associate-/r/` `div-inv`
6×	`associate-r` `associate-l` `associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg`

Counts

4 → 163

Calls

4 calls:

5.0ms	(* PI l)
5.0ms	(* PI l)
16.0ms	(/ (sqrt 1.0) (/ F (tan (* PI l))))
6.0ms	(tan (* PI l))

series478.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* PI l)
41.0ms	(* PI l)
274.0ms	(/ (sqrt 1.0) (/ F (tan (* PI l))))
117.0ms	(tan (* PI l))

simplify1.7s

Counts

175 → 175

Iterations

Iter	Nodes
done	5000
2	1632
1	628
0	260

prune1.1s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 10.4b

regimes1.0s

Accuracy

0% (0.3b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 12.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	12

end0.0ms

sample9.3s

Algorithm

intervals

Results

4.3s	793×	body	2560	valid
2.2s	1709×	body	1280	valid
1.2s	968×	body	640	valid
706.0ms	4498×	body	80	valid
253.0ms	9×	body	10240	exit
165.0ms	398×	body	320	valid
104.0ms	209×	body	160	valid